PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2015
Pittsburgh, Pennsylvania
A model of the structure of proof construction
Page: 290
This paper offers a model of the structure of proof construction. The model provides a comprehensive view of proof construction, which can encompass the aspects, factors, patterns, and features involved in cognitive processes in proof construction. The model also clarifies the skills and abilities necessary for proof construction. Moreover, the model provides an algorithm for advancing a reasoning process. Using some examples, this paper shows that the model can serve as metacognitive and methodological knowledge to help students construct a proof based on logical deduction. The model may help students not only grasp a view of proof construction but also develop their skills for proof construction.